Elements of Mechanics: For the Use of Colleges, Academies, and High SchoolsA.S. Barnes & Burr, 1859 - 338 pages |
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Page v
... Projection of Forces .. Composition of a Group of Forces in a Plane . Composition of a Group of Forces in Space .. Expression for the Resultant of two Forces . Principle of Moments ... Principle of Virtual Moments .. 25 26 27 28 30 32 ...
... Projection of Forces .. Composition of a Group of Forces in a Plane . Composition of a Group of Forces in Space .. Expression for the Resultant of two Forces . Principle of Moments ... Principle of Virtual Moments .. 25 26 27 28 30 32 ...
Page vii
... Projected Upwards ..... 148 150 Restrained Vertical Motion .... 153 Atwood's Machines ....... 156 Motion on Inclined Planes ..... 158 Motion down a Succession of Inclined Planes .. 161 Periodic Motion .... 163 Angular Velocity .. The ...
... Projected Upwards ..... 148 150 Restrained Vertical Motion .... 153 Atwood's Machines ....... 156 Motion on Inclined Planes ..... 158 Motion down a Succession of Inclined Planes .. 161 Periodic Motion .... 163 Angular Velocity .. The ...
Page 34
... Projection of Forces . 32. If planes be passed through the extremities of a force , perpendicular to the direction ... projection of the force upon the plane . If we denote any force by P , and the 34 MECHANICS . Projection of Forces.
... Projection of Forces . 32. If planes be passed through the extremities of a force , perpendicular to the direction ... projection of the force upon the plane . If we denote any force by P , and the 34 MECHANICS . Projection of Forces.
Page 35
... projection of the force on the line or plane . In both cases the projection of the force is its effective component in the direction of the line or plane upon which it is projected . Compositon of a Group of Forces in a Plane . 33 . Let ...
... projection of the force on the line or plane . In both cases the projection of the force is its effective component in the direction of the line or plane upon which it is projected . Compositon of a Group of Forces in a Plane . 33 . Let ...
Page 43
... projection of the force upon a plane at right - angles to the axis , taken with respect to the point in which this axis pierces the plane as a centre of moments . If there are any number of forces situated in any manner in space , it is ...
... projection of the force upon a plane at right - angles to the axis , taken with respect to the point in which this axis pierces the plane as a centre of moments . If there are any number of forces situated in any manner in space , it is ...
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Common terms and phrases
A. S. BARNES algebraic sum angular velocity atmosphere axes axle body called centre of gravity centrifugal force cistern components cord cubic cubic foot curve cylinder denote the angle distance elementary entire equal Equation equilibrium exerted feet fluid force applied force of gravity forces acting friction fulcrum Hence horizontal hydrometer inches inclined plane inertia instrument lever arm liquid machine mass mercury moment of inertia moments motion orifice parallel forces parallelogram parallelogram of forces particles passing Pcosa pendulum perpendicular pipe piston point of application polygon position power and resistance pressure principle principle of moments pulley pump quantity radius radius of gyration represent reservoir respect resultant right angles rope rotation Schools screw SOLUTION space specific gravity square steam Substituting suppose temperature tension tion triangle tube unit upper surface vertex vertical vessel vibration volume weight wheel whence
Popular passages
Page 182 - ... plus the product of the area and the square of the distance between the axes.
Page 223 - This electromotive force may be resolved into two components, one parallel and the other perpendicular to I, as shown, for example, in Fig.
Page 114 - The power is to the weight, as the radius of the pulley is to the chord of the arc enveloped by the rope.
Page 39 - Lami's Theorem. If three forces acting on a particle keep it in equilibrium, each is proportional to the sine of the angle between the other two.
Page 7 - BOURDON'S ALGEBRA 1 50 KEY TO DAVIES' BOURDON'S ALGEBRA 1 50 DAVIES' LEGENDRE'S GKOMETRY 1 50 DAVIES' ELEMENTS OF SURVEYING 1 50 DAVIES' ANALYTICAL GEOMETRY 1 25 DAVIES' DIFFERENTIAL AND INTEGRAL CALCULUS 1 25 DAVIES' DESCRIPTIVE GEOMETRY 2 00 DAVIES...
Page 42 - Hence, the moment of the resultant of two forces is equal to the algebraic sum of the moments of the forces taken separately. 53. Forces Acting at Different Points. Parallel Forces.— We have thus far considered forces acting upon a single particle, or upon one point of a body. If, how- Fia 33...
Page 180 - ... must be measured on a line at right angles to the direction of the force. Moment of Inertia. The moment of inertia of a body, with respect to an axis, is the sum of the products obtained by multiplying the mass of each elementary particle by the square of its distance from the axis; hence, the moment of inertia of the same body varies according to the position of the axis.
Page 5 - ... feet. Thus it appears, that it requires a force to lift the piston exactly equal to the weight of a column of water, whose base is equal to the section of the piston, and whose height...
Page 8 - JOHN A.* PORTER, AM. MD, Professor of Agricultural and Organic Chemistry in Yale College. Price $1.00. These works have been prepared expressly for Public and Union Schools, Academies, and Seminaries, where an extensive course of study on this subject and expensive apparatus was not desired, or could not be afforded. A fair, practical knowledge of Chemistry is exceedingly desirable, and almost a necessity, at tho present day, but it has been...